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Mathematics ECAT Pre Engineering Chapter 17 Functions and Limits Online Test MCQs With Answers
Question # 1
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sin h x
cos h x
tan h x
cot h x
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Question # 2
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0
1
1/2
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Question # 3
A function F(x) is called even if
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F(x) = F (-x)
F(x) = F(-x)
F(x) = -F(x)
2F(x) = 0
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Question # 4
f(x) = 2x
2
+ 3x + 5 is a
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trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 5
if f(x) = x
3
-3x
2
+5x -1, then f(-√2)=
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7+7√2
3+3√2
-7-7√2
-3-3√2
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Question # 6
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Question # 7
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Question # 8
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0
1
-1
none of these
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Question # 9
If f(x) = x
2
-x then f(1) is
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0
1
2
3
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Question # 10
The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x
2
+ 5x -5 for x> 0 is
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1
5
-5
-1
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Question # 11
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3/4
r
v
None of these
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Question # 12
Which of the following function form 1 to itself are bi-jective
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F(x) = x + 3
F(x) = x
5
F(x) = 3x + 2
F(x) = x
2
+ x
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Question # 13
A function from X to X is denoted as
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f : X to Y
f : Y to Y
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Question # 14
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0
1
2
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Question # 15
The curve f(x,y) = 0 has a central symmetry if
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f(-x,-y)=f(x,y)
f(x,-y)=f(x,y)
f(-x,y)=f(x,y)
f(-x,-y)≠f(x,y)
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Question # 16
An even function is symmetric about the line
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y = x
x = 0
y = -x
y = 0
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Question # 17
What is range of the function g (x) =|x-3|?
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[0 ,∞ )
(0 ,∞)
(-∞ ,3]
[0,∞)
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Question # 18
Express the perimeter P of square as a function of its area A?
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P = 4√A
P =√A
P = 2A
P =π√A
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Question # 19
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0
3
9
-3
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Question # 20
The domain of f(x) = log x is
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[0,
∞
]
(0,
∞
)
[0,
∞
[
[
∞
,
∞
]
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Question # 21
If f(x) = x
3
- 2x
2
+ 4x -1 then f(2) is
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7
-16
16
-9
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Question # 22
If f(x) = tan x then f(0) is
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0
1
1/2
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Question # 23
f(x) = x3-x/x2+1 is :
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an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 24
The range of the function f : x→ y is defined by
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{x| y = f (x) ∀x∈ X ∧y∈y}
{(x,y) |y = f (x)∀x∈ X}
{y|y = f (x) ∀x∈ X ∧y∈y}
Y
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Question # 25
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Question # 26
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Question # 27
x = secθ,y = tanθ are the parametric equations of
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Circle
Hyperbola
Ellipse
parabola
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Question # 28
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Question # 29
The range of y=x2 + 1 is the set of non-negative real numbers except
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0≤ y < 1
0 < y < 1
0≤ y≤ 1
0 < y≤1
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Question # 30
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One-one but not onto
One-one and onto
Onto but not one-one
Neither one-one nor onto
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Question # 31
If f(x) = x
2
- x then f(2) is
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4
6
2
0
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